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Finding the Fourth Proportional to 166.34, 229.60 and 117.20

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Solution

The fourth proportional to 166.34, 229.60 and 117.20 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.34 : 229.60 = 117.20 : x
  2. Step 2: Convert to fraction form
    166.34/229.60 = 117.20/x
  3. Step 3: Cross multiply
    166.34x = 229.60 × 117.20
  4. Step 4: Simplify right side
    166.34x = 26,909.12
  5. Step 5: Solve for x
    x = 26,909.12/166.34
  6. Step 6: Final answer
    x = 161.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.